Question 4 - A-Level Maths

4. $$f ( x ) = 4 x - 3 x ^ { 2 } - x ^ { 3 }$$

Fully factorise $4 x - 3 x ^ { 2 } - x ^ { 3 }$.
Sketch the curve $y = \mathrm { f } ( x )$, showing the coordinates of any points of intersection with the coordinate axes.